253754893920 has 192 divisors, whose sum is σ = 872531460864. Its totient is φ = 61478430720.

The previous prime is 253754893907. The next prime is 253754893933. The reversal of 253754893920 is 29398457352.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (253754893907) and next prime (253754893933).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9083494 + ... + 9111386.

It is an arithmetic number, because the mean of its divisors is an integer number (4544434692).

Almost surely, 2^253754893920 is an apocalyptic number.

253754893920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253754893920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436265730432).

253754893920 is an abundant number, since it is smaller than the sum of its proper divisors (618776566944).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253754893920 is a wasteful number, since it uses less digits than its factorization.

253754893920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29645 (or 29637 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 57.

The spelling of 253754893920 in words is "two hundred fifty-three billion, seven hundred fifty-four million, eight hundred ninety-three thousand, nine hundred twenty".